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Finding the Third Proportional to 485,496 and 743,027

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Solution

The third proportional to 485,496 and 743,027 is: 1,137,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,496 : 743,027 = 743,027 : x
  2. Step 2: Convert to fraction form
    485,496/743,027 = 743,027/x
  3. Step 3: Cross multiply
    485,496x = 743,027 × 743,027
  4. Step 4: Simplify right side
    485,496x = 552,089,122,729
  5. Step 5: Solve for x
    x = 552,089,122,729/485,496
  6. Step 6: Final answer
    x = 1,137,165.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.